Question 1209095: A line passes through the points A, B, and C. Find y.
The coordinates are A = (-7,2), B = (-1,3), and C = (6,y).
Answer by ikleyn(52803)   (Show Source):
You can put this solution on YOUR website! .
A line passes through the points A, B, and C. Find y.
The coordinates are A = (-7,2), B = (-1,3), and C = (6,y).
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To solve, you should know the formula for the slope m =  .
Step 1. Calculate the slope "m", using points A and B
m =  =  .
Step 2. Write an equation for the slope, using points B and C
=  ,
=  .
Step 3. From this equation, find y. For it, multiply both sides by 6*7 = 42.
You will get
7 = 6*(y-3),
7 = 6y - 18,
7 + 18 = 6y,
25 = 6y,
y =  = 4. ANSWER
Solved.
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